Charny C K, Levin R L
Department of Biomedical Engineering, Johns Hopkins University School of Medicine, Baltimore, Md 21205.
J Biomech Eng. 1988 Nov;110(4):277-82. doi: 10.1115/1.3108442.
A numerical model of the heat transer normal to an arteriole-venule pair embedded in muscle tissue has been constructed. Anatomical data describing the blood vessel size, spacing, and density have been incorporated into the model. This model computes temperatures along the vessel walls as well as the temperature throughout the tissue which comprises an infinitely long Krogh cylinder around the vessel pair. Tissue temperatures were computed in the steady-state under resting conditions, while transient calculations were made under hyperthermic conditions. Results show that for both large- (1st generation) and medium-sized (5th generation) vessel pairs, the mean tissue temperature within the tissue cylinder is not equal to the mean of the arteriole and venule blood temperatures under both steady-state and transient conditions. The numerical data were reduced so that a comparison could be made with the predictions of a simple two-dimensional superposition of line sources and sinks presented by Baish et al. This comparison reveals that the superposition model accurately describes the heat transfer effects during hyperthermia, permitting subsequent incorporation of this theory into a realistic three-dimensional model of heat transfer in a whole limb during hyperthermia.
已构建了一个垂直于嵌入肌肉组织中的小动脉-小静脉对的热传递数值模型。描述血管大小、间距和密度的解剖学数据已纳入该模型。该模型计算沿血管壁的温度以及整个组织的温度，该组织围绕血管对形成一个无限长的克罗格圆柱体。在静息条件下计算稳态时的组织温度，而在热疗条件下进行瞬态计算。结果表明，对于大型（第一代）和中型（第五代）血管对，在稳态和瞬态条件下，组织圆柱体内的平均组织温度均不等于小动脉和小静脉血液温度的平均值。对数值数据进行了简化，以便与Baish等人提出的线源和汇的简单二维叠加预测进行比较。该比较表明，叠加模型准确描述了热疗期间的热传递效应，从而允许将该理论随后纳入热疗期间整个肢体热传递的实际三维模型中。
